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Finding the Fourth Proportional to 724.07, 999.15 and 409.34

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Solution

The fourth proportional to 724.07, 999.15 and 409.34 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.07 : 999.15 = 409.34 : x
  2. Step 2: Convert to fraction form
    724.07/999.15 = 409.34/x
  3. Step 3: Cross multiply
    724.07x = 999.15 × 409.34
  4. Step 4: Simplify right side
    724.07x = 408,993.02
  5. Step 5: Solve for x
    x = 408,993.02/724.07
  6. Step 6: Final answer
    x = 564.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.